A 1.5-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 10.6 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. \29°l 2.8'
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- The figure shows a 2.38-kg ball attached to one end of an ideal string of length L = 1.24 m. The string's other end is held fixed as the ball swings around a vertical circle from rest at point A where 0 = 30°. Find the magnitude of tension in the string at point B, assuming the string remains taut and there is no friction or air resistance. A v0 = 0 T = L 0 B V NA small object with mass 0.200 kg moves with constant speed in a vertical circle of radius 0.500 m. It takes the object 0.200 s to complete one revolution (a) What is the translational speed of the object? (b) What is the frequency? (c) As the object passes through the lowest point in its motion, what is the direction of the acceleration of the object? upward downward The acceleration is zero and has no direction. (d) As the object passes through the lowest point of its motion, what is the magnitude of the acceleration of the object?Computation. Three objects are connected as in the figure with mд-7 kg, mB=6.43 kg, and mc-11.4 kg. The strings and frictionless pulleys have negligible masses, and the coefficients of friction between the block and the table are s-0.67 and u-0.151. If the system is released from rest, find the magnitude of its acceleration. [Hint: As part of your solution, check to see if block B experiences static or kinetic friction.] MA a = JACOPERTE mc E OL MB _m/s² Record your numerical answer below, assuming three significant figures. Ca O @ ✰ ✰ 0 A D 10:14 PM 10/19/2022 *** 2
- A 215-g pendulum with a massless cord of length r = 1.00 m swings in a vertical plane (see figure). When the pendulum is in the two horizontal positions theta = 90° and theta = 270°, its speed is 4.20 m/s. given (c) Find the magnitude of the tangential acceleration (in m/s2) for these positions. (d) Draw a vector diagram to determine the direction of the total acceleration for these two positions. (e) Calculate the magnitude (in m/s2) and direction (in degrees above or below the horizontal) of the total acceleration.And don't worry about whether the passengers would actually survive the trip. They are lightweight crash test dummies. NTC A cart of mass m= 347 kg is going around a circular loop-the-loop. There is no motor. The cart moves only under the influence of gravity. Ignore friction and let g = 9.81 meters per second squared. The loop has a radius of r meters. When the cart is at the top of the loop, the normal force on the cart (exerted by the track) pushes down on the cart with a force of N = 1,330 newtons. When it is at the bottom of the loop, the cart has a speed of 30.7 meters per second. What is the radius of the loop (in units of meters)?A small block with mass 0.0425 kg slides in a vertical circle of radius 0.450 m on the inside of a circular track During one of the revolutions of the block, when the block is at the bottom of its path, point A, the magnitude of the normal force exerted on the block by the track has magnitude 3 85 N. In this same revolution, when the block reaches the top of its path, point B, the magnitude of the normal force exerted on the block has magnitude 0575 N Part A How much work was done on the block by friction during the motion of the block from point A to point B Express your answer with the appropriate units. Writion 0.15 Submit → J Previous Answers Request Answer X Incorrect; Try Again: 2 attempts remaining Check your signs ?
- The system is released from rest with the spring initially stretched 2.8 in. Calculate the velocity v of the cylinder after it has dropped 1.5 in. The spring has a stiffness of 4.1 lb/in. Neglect the mass of the small pulley. k = 4.1 lb/in 80 lbConsider two boxes initially at rest as shown, each of mass 5.0 kg, that are connected by a massless string over a pulley of radius 5.0 cm and rotational inertia equal to 4.0 x 10-3 kg·m². The coefficient of kinetic friction between the inclined surface and the box is 0.15. Find the speed of the boxes just after they have moved 1.0 m. Justify approach taken as you begin your solution. 30° m mA tetherball is connected to the top of a pole with a rope that is 2.58m long and swings around the pole at an angle of θ = 33.4 degrees between the pole and the rope. Calculate the speed of the tetherball in meters/second, but only enter in the numerical value, do NOT enter units.
- The frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/sA speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10